I pulled up some information on that jack. It has a connector and doesn't need to be soldered, is that what you have?
I wish more power jacks were like that
That makes this much more easy. You want to look at the connectors for the power jack and the inverter (don't get shocked!). Make sure that they are connected properly, look inside the holes to make sure the metal makes good contact with each other when they are connected, make sure that there aren't any hard bends or kinks in the wires where the wire might be breaking inside the insulation. If you have a continuity checker or Ohm meter, check the jack to make sure the pins are connected to the post and the ground of the jack. While doing this wiggle the wires a little bit and make sure it maintains continuity. Put it all back together and see what happens.
Edited by NeverSayDie, 07 February 2012 - 10:18 AM.